Atkin-Lehner |
2- 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422u |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
436976758638 = 2 · 38 · 7 · 17 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2162,-22218] |
[a1,a2,a3,a4,a6] |
j |
1117643600358433/436976758638 |
j-invariant |
L |
5.7912045737451 |
L(r)(E,1)/r! |
Ω |
0.72390057171814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266r3 114954cb3 |
Quadratic twists by: -3 -7 |